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Dynamic Behavior of Multi-Layered Viscoelastic Nanobeam System Embedded in a Viscoelastic Medium with a Moving Nanoparticle

Published online by Cambridge University Press:  22 September 2016

Sh. Hosseini Hashemi  and
H. Bakhshi Khaniki
Sh. Hosseini Hashemi
Affiliation:
Department of Mechanical EngineeringIran University of Science and TechnologyTehran, Iran
H. Bakhshi Khaniki*
Affiliation:
Department of Mechanical EngineeringIran University of Science and TechnologyTehran, Iran
*
*Corresponding author ([email protected])

Abstract

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In this paper, dynamic behavior of multi-layered viscoelastic nanobeams resting on a viscoelastic medium with a moving nanoparticle is studied. Eringens nonlocal theory is used to model the small scale effects. Layers are coupled by Kelvin-Voigt viscoelastic medium model. Hamilton's principle, eigen-function technique and the Laplace transform method are employed to solve the governing differential equations. Analytical solutions for transverse displacements of double-layered is presented for both viscoelastic nanobeams embedded in a viscoelastic medium and without it while numerical solution is achieved for higher layered nanobeams. The influences of the nonlocal parameter, stiffness and damping parameter of medium, internal damping parameter and number of layers are studied while the nanoparticle passes through. Presented results can be useful in analysing and designing nanocars, nanotruck moving on surfaces, racing nanocars etc.

Keywords

NanostructureMulti-layered nanobeamViscoelastic nanobeamDynamic response
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 5 , October 2017 , pp. 559 - 575
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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